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Finding the Fourth Proportional to 429,340.77, 644,306.43 and 148,858.02

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Solution

The fourth proportional to 429,340.77, 644,306.43 and 148,858.02 is: 223,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,340.77 : 644,306.43 = 148,858.02 : x
  2. Step 2: Convert to fraction form
    429,340.77/644,306.43 = 148,858.02/x
  3. Step 3: Cross multiply
    429,340.77x = 644,306.43 × 148,858.02
  4. Step 4: Simplify right side
    429,340.77x = 95,910,179,443.07
  5. Step 5: Solve for x
    x = 95,910,179,443.07/429,340.77
  6. Step 6: Final answer
    x = 223,389.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.